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Finding the Third Proportional to 285,418.69 and 627,334.88

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Solution

The third proportional to 285,418.69 and 627,334.88 is: 1,378,848.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,418.69 : 627,334.88 = 627,334.88 : x
  2. Step 2: Convert to fraction form
    285,418.69/627,334.88 = 627,334.88/x
  3. Step 3: Cross multiply
    285,418.69x = 627,334.88 × 627,334.88
  4. Step 4: Simplify right side
    285,418.69x = 393,549,045,391.27
  5. Step 5: Solve for x
    x = 393,549,045,391.27/285,418.69
  6. Step 6: Final answer
    x = 1,378,848.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.